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Orbifold subfactors from Hecke algebras

Evans, David Emrys and Kawahigashi, Yasuyuki 1994. Orbifold subfactors from Hecke algebras. Communications in Mathematical Physics 165 (3) , pp. 445-484. 10.1007/BF02099420

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Abstract

We apply the notion of orbifold models ofSU(N) solvable lattice models to the Hecke algebra subfactors of Wenzl and get a new series of subfactors. In order to distinguish our subfactors from those of Wenzl, we compute the principal graphs for both series of subfactors. An obstruction for flatness of connections arises in this orbifold procedure in the caseN=2 and this eliminates the possibility of the Dynkin diagramsD 2n+1 , but we show that no such obstructions arise in the caseN=3. Our tools are the paragroups of Ocneanu and solutions of Jimbo-Miwa-Okado to the Yang-Baxter equation.

Item Type: Article
Date Type: Publication
Status: Published
Schools: Mathematics
Subjects: Q Science > QA Mathematics
Additional Information: Open Access version available from Project Euclid: http://projecteuclid.org/euclid.cmp/1104271410
Publisher: Springer
ISSN: 0010-3616
Related URLs:
Date of First Compliant Deposit: 18 January 2017
Last Modified: 04 Feb 2025 12:11
URI: https://orca.cardiff.ac.uk/id/eprint/33307

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